Species abundance distributions in neutral models with immigration or mutation and general lifetimes

We consider a general, neutral, dynamical model of biodiversity. Individuals have i.i.d. lifetime durations, which are not necessarily exponentially distributed, and each individual gives birth independently at constant rate λ. Thus, the population size is a homogeneous, binary Crump–Mode–Jagers process (which is not necessarily a Markov process). We assume that types are clonally inherited. We consider two classes of speciation models in this setting. In the immigration model, new individuals of an entirely new species singly enter the population at constant rate μ (e.g., from the mainland into the island). In the mutation model, each individual independently experiences point mutations in its germ line, at constant rate θ. We are interested in the species abundance distribution, i.e., in the numbers, denoted I _n (k) in the immigration model and A _n (k) in the mutation model, of species represented by k individuals, k = 1, 2, . . . , n, when there are n individuals in the total population. In the immigration model, we prove that the numbers (I _t (k); k ≥ 1) of species represented by k individuals at time t, are independent Poisson variables with parameters as in Fisher’s log-series. When conditioning on the total size of the population to equal n, this results in species abundance distributions given by Ewens’ sampling formula. In particular, I _n (k) converges as n → ∞ to a Poisson r.v. with mean γ/k, where γ : = μ/λ. In the mutation model, as n → ∞, we obtain the almost sure convergence of n ⁻¹ A _n (k) to a nonrandom explicit constant. In the case of a critical, linear birth–death process, this constant is given by Fisher’s log-series, namely n ⁻¹ A _n (k) converges to α ^k /k, where α : = λ/(λ + θ). In both models, the abundances of the most abundant species are briefly discussed.     

Galerkin-Ritz procedures for approximate solutions to systems of reaction-diffusion equations

For any essentially nonlinear system of reaction-diffusion equations of the generic form ∂c_i/∂t=D_i∇²c_i+Q_i(c,x,t) supplemented with Robin type boundary conditions over the surface of a closed bounded three-dimensional region, it is demonstrated that all solutions for the concentration distributionn-tuple function c=(c ₁(x,t),...,c _n (x,t)) satisfy a differential variational condition. Approximate solutions to the reaction-diffusion intial-value boundary-value problem are obtainable by employing this variational condition in conjunction with a Galerkin-Ritz procedure. It is shown that the dynamical evolution from a prescribed initial concentrationn-tuple function to a final steady-state solution can be determined to desired accuracy by such an approximation method. The variational condition also admits a systematic Galerkin-Ritz procedure for obtaining approximate solutions to the multi-equation elliptic boundary-value problem for steady-state distributions c=−c(x). Other systems of phenomenological (non-Lagrangian) field equations can be treated by Galerkin-Ritz procedures based on analogues of the differential variational condition presented here. The method is applied to derive approximate nonconstant steady-state solutions for ann-species symbiosis model.     

Theory of transport in linear biological systems: I. Fundamental integral equation

The conditions under which the output,γ _b (t), of a biological system is related to the input,γ _a (t), by an integral equation of the typeγ _b (t) = ∫ ₀ ^t γ _a (ω)w(t−ω)dω, where ω(t) is a transport functioncharacteristic of the system, are analyzed in detail. Methods of solving this type of integral equation are briefly discussed. The theory is then applied to problems in tracer kinetics in which input and output are sums of exponentials, and explicit formulae, which are applicable whether or not the pool is uniformly mixed, are derived for “turnover time” and “pool” size.     

Redistribution of hepatocyte chloride during l-alanine uptake

We used ion-sensitive, double-barrel microelectrodes to measure changes in hepatocyte transmembrane potential (V _m), intracellular K⁺, Cl^-, and Na⁺ activities (a ⁱ _k, a _Cl ⁱ and a _Na ⁱ ), and water volume during l-alanine uptake. Mouse liver slices were superfused with control and experimental Krebs physiological salt solutions. The experimental solution contained 20 m l-alanine, and the control solution was adjusted to the same osmolality (305 mOsm) with added sucrose. Hepatocytes also were loaded with 50 mm tetramethylammonium ion (TMA⁺) for 10 min. Changes in cell water volume during l-alanine uptake were determined by changes in intracellular, steady-state TMA⁺ activity measured with the K⁺ electrode. Hepatocyte control V _m was -33±1 mV. l-alanine uptake first depolarized V _m by 2±0.2 mV and then hyperpolarized V _m by 5 mV to-38±1 mV (n = 16) over 6 to 13 min. During this hyperpolarization, a _Na ⁱ increased by 30% from 19±2 to 25±3 mm (P < 0.01), and a _K ⁱ did not change significantly from 83±3 mm. However, with added ouabain (1 mm) l-alanine caused only a 2-mV increase in V _m, but now a _K ⁱ decreased from 61±3 to 54±5 mm (P < 0.05). Hyperpolarization of V _m by l-alanine uptake also resulted in a 38% decrease of a _Cl ⁱ from 20±2 to 12±3 mm (P < 0.001). Changes in V _m and V _Cl — V _m voltage traces were parallel during the time of l-alanine hyperpolarization, which is consistent with passive distribution of intracellular Cl^– with the V _m in hepatocytes. Added Ba²⁺ abolished the l-alanineinduced hyperpolarization, and a _Cl ⁱ remained unchanged. Hepatocyte water volume during l-alanine uptake increased by 12±3%. This swelling did not account for any changes in ion activities following l-alanine uptake. We conclude that hepatocyte a _K ⁱ is regulated by increased Na⁺-K⁺ pump activity during l-alanine uptake in spite of cell swelling and increased V _m due to increased K⁺ conductance. The hyperpolarization of V _m during l-alanine uptake provides electromotive force to decrease a _Cl ⁱ . The latter may contribute to hepatocyte volume regulation during organic solute transport.This work was supported by grant AA-08867 from the Alcohol, Drug Abuse, and Mental Health Association.     

The role of optimal control in assessing the most cost-effective implementation of a vaccination programme: HPV as a case study

Consider a population that develops over units of time labelled by zero and the negative integers. It is assumed that at any time r ? 0 there are respectively N(m, a) males of age a and N(f, b) of females of age b, where a = 1, … , A_m and b = 1, … , A_f. At time 0 a sample of n copies of a gene are assumed to be observed, where n ? min_ab(N(m, a), N(f, b)). It is assumed that at any particular time r any possible mating is equally probable and that numbers of gametes contributed to offspring of age 1 and sex u by parents of sex v are exchangeable within age groups and independently distributed among age-groups. Coalescent theory is then derived, with time measured in multiples 2N_eC of the effective population size N_eC, which depends on a measure T of the generation interval. Theory is developed for both autosomal and sex-linked loci in two special cases.     

Trinuclear iridium and rhodium complexes: the solution to a puzzle involving the multiple coordination possibilities of 1,8-naphthyridine-2-one ligands

The multiple coordination possibilities of 1,8-naphthyridine-2-one (HOnapy) and 5,7-dimethyl-1,8-napthyridine-2-one (HOMe₂napy) ligands allow the synthesis of a variety of tri- di- and mononuclear complexes, showing fluxional behaviour and frequent exchange of the coordinated ML₂ fragments. Thus, reactions of [M₂(μ-OMe)₂(cod)₂] (cod = 1,5-cyclooctadiene) with HOnapy and HOMe₂napy yield the compounds of the general formula [M(μ-OR₂napy) (cod)]_n (M = Ir, R = Me (1a, 1b, H (2); M = Rh, R = Me (3a, 3b). They crystallise as inconvertible yellow (a) and purple/orange (b) forms and also show a puzzling behaviour in solution. X-ray diffraction studies on both forms (3a, 3b) and spectroscopic data reveal that the yellow forms are mononuclear complexes whilst the dark-coloured crystals contain dinuclear complexes. In solution, the nuclearity of the complexes depends on the solvent. In addition both types of complexes are fluxional. The mixed-ligand complexes [M₂(μ-OMe₂napy)₂(CO)₂(cod)] M = Ir (5), Rh (6) have been isolated and characterised; they are found to be intermediates in the synthesis of the trinuclear complexes [M₃(μ₃-OMe₂napy)₂(CO)₂(cod)₂]⁺ M = Rh (8), Ir (9). Reactions of [IrCl(CO)₂(NH₂-p-tolyl] with the complexes [Rh(μ-OR₂napy)(diolefin)]_n followed by addition of a poor donor anion is a general one-pot synthesis for the hetertrinuclear complexes [Rh₂Ir(μ₃-OR₂napy)₂(CO)₂(diolefin)₂]⁺ (R=Me, DIOLEFIN = cod (10), tetrafluorobenzo-barrelene (tfbb) (11), 2,5-norbornadiene (nbd) (12); R=H, DIOLEFIN=cod (13)). This synthesis follows a stepwise mechanism from the mononuclear to the trinuclear complexes in which mixed-ligand heterodinuclear complexes are involved as intermediates of the type [(diolefin)Rh(μ-OMe₂napy)₂Ir(CO)₂]. Heteronuclear complexes which possess the core [RhIr₂]³⁺, such as [RhIr₂(μ₃-OR₂napy)₂(CO)₂(cod)₂]BF₄ (R=Me (14), H (15)), result from the reaction of 1 or 2 with [Rh(CO)₂S_x]⁺ (S = solvent). The trinuclear complexes undergo two chemically reversible one-electron oxidation processes. The chemical oxidation of 10, 14 and 9 with silver salts gives the mixed-valence trinuclear radicals [Rh₂Ir(μ₃-OMe₂napy)₂(CO)₂(cod)₂]²⁺ (16), [RhIr₂(μ₃-OMe₂napy)₂(CO)₂(cod)₂]²⁺ (17) and [Ir₃(μ₃-OMe₂napy)₂(CO)₂(cod)₂]²⁺ (18), which have been isolated as the perchlorate and tetrafluoroborate salts. The EPR spectrum of 16 indicates that the unpaired electron is essentially in an orbital delocalised on the metals. The molecular structures of the complexes 3a, 3b, 6, 10b and 16a are described. Crystals of 3a are triclinic, P-1, with a = 9.7393(2), b = 14.0148(4), c = 16.0607(4) Å, α = 88.122(3), β = 83.924(3), γ = 87.038(3)°, Z = 4; 3b crystallises in the Pna2_i orthorhhombic space group, with a = 16.7541(3), B = 11.7500(8), c = 17.7508(7) Å, Z = 4; complex 6 is packed in the monoclinic space group P2_i/c, a = 9.6371(1), b = 11.8054(4), c = 27.2010(9) Å, β = 90.556(4)°, Z = 4; crystals of 10b are monoclinic, P2₁/n, with a = 17.546(7), b = 13.232(6), c = 17.437(8) Å, β = 106.18(1)°, Z = 4; crystals of 16a are triclinic, P-1, with a = 10.318(4), b = 12.562(6), C = 19.308(8) Å, α = 92.12(8), β = 97.65(9), γ = 90.68(5)°, Z = 2. The five different structures show the coordination versatility of the OMe₂napy molecule as ligand, which behaves as a N,N′-chelating (3a), bidentate N,O-donor (3b, 6), or as a tridentate N,N′,O-donor bridging ligand (10b, 16a).     

Comparative analysis of oxygen transfer rate distribution in stirred bioreactor for simulated and real fermentation broths

Study of the distribution of the oxygen mass transfer coefficient, k _l a, for a stirred bioreactor and simulated (pseudoplastic solutions of carboxymethylcellulose sodium salt) bacterial (P. shermanii), yeast (S. cerevisiae), and fungal (P. chrysogenum free mycelia) broths indicated significant variation of transfer rate with bioreactor height. The magnitude of the influence of the considered factors differed from one region to another. As a consequence of cell adsorption to bubble surface, the results indicated the impossibility of achieving a uniform oxygen transfer rate throughout the whole bulk of the microbial broth, even when respecting the conditions for uniform mixing. Owing to the different affinity of biomass for bubble surface, the positive influence of power input on k _l a is more important for fungal broths, while increasing aeration is favorable only for simulated, bacterial and yeast broths. The influence of the considered factors on k _l a were included in mathematical correlations established based on experimental data. For all considered positions, the proposed equations for real broths have the general expression k_l a = aC_X^b ( \fracP_a V )^g v_S^d , k_{\rm l} a = \alpha C_{\rm X}^{\beta } \left( {{\frac{{P_{\rm a} }}{V}}} \right)^{\gamma } v_{\rm S}^{\delta } , exhibiting good agreement with experimental results (with maximum deviations of ±10.7% for simulated broths, ±8.4% for P. shermanii, ±9.3% for S. cerevisiae, and ±6.6% for P. chrysogenum).     

Optical properties and optical constituents of the Faroe Islands shelf and off-shelf waters,North East Atlantic

The study comprises a data set of CTD, optical properties—K ₀(PAR), c _p, a(PAR), b(PAR)—and optical constituents—Chl a, SPM, CDOM—from 72 shelf and off-shelf stations in the Faroe Islands (62°N, 7°W) North East Atlantic, in early spring 2005. Results showed that shelf waters surrounding the islands were cold and low saline, whereas off-shelf waters were warmer (~1°C) and more saline (~0.05) PSU. A pronounced oceanographic front separated the two waters, and diffuse light attenuation K ₀(PAR), beam attenuation c _p, Chl a, absorption a(PAR), and scattering coefficient b(PAR) were all significantly higher on the shelf. Analyses showed that off-shelf light attenuation K ₀(PAR) was governed by Chl a, shown by a high (r ² = 0.64) Chl a–K ₀(PAR) correlation, whereas light attenuation on the shelf was governed by both Chl a, SPM, and CDOM in combination. A Chl a specific diffuse attenuation coefficient K₀^* ( \textPAR ) K_{0}^{*} \left( {\text{PAR}} \right) of 0.056 (m² mg⁻¹ Chl a) and a Chl a specific beam attenuation ( c_\textp^* c_{\text{p}}^{*} ) of 0.27 (m² mg⁻¹ Chl a) coefficients were derived for the off-shelf. It is pointed out that Chl a is the single variable that changes over time as no rivers with high SPM and CDOM enter the shelf area. Data were obtained in early spring, and Chl a concentrations were low ~0.5 mg Chl a m⁻³. Spring bloom Chl a are about 10 mg Chl a m⁻³ and estimations showed that shelf K ₀(PAR) will increase about 5 times and beam attenuation about 10 times. The Faroe Islands shelf–off-shelf waters is a clear example where physical conditions maintain some clear differences in optical properties and optical constituents. The complete data set is enclosed.     

On the control of tooth replacement in reptiles and its relationship to growth

The teeth of nearly all non-mammalian vertebrates are replaced in waves which sweep through alternate tooth positions. It is argued that tooth replacement in these animals represents growth of the dentition. It is shown that the pattern of tooth replacement could be described by the exponential equation t_(n)r, = k e^ar+bn when t(n)r is the time at which the rth replacement erupts in the nth position and k, a and b are constants. The length of a replacement wave (w) which is visible in the mouth, can be calculated from the equation w = 2(a?b)/a?2b for forward travelling waves. The effect of different ratios, $\text{a}\text{b}$, on wavelength is described. The model can be interpreted as describing the effect of a zone of inhibition which (it is argued) temporarily surrounds any newly initiated tooth. The increasing time required to dissipate the inhibition around successive replacement teeth is related to the age of the animal. This increasing time permits successive teeth to grow for longer periods than their predecessors and can account for a gradual increase in the size of successive teeth. A similar mechanism could account for the phasic nature of bone growth. It is indicated that the model could be difficult to test.     

Germination sensitivities to water potential among co‐existing C3 and C4 grasses of cool semi‐arid prairie grasslands

An untested theory states that C₄ grass seeds could germinate under lower water potentials (Ψ) than C₃ grass seeds. We used hydrotime modelling to study seed water relations of C₄ and C₃ Canadian prairie grasses to address Ψ divergent sensitivities and germination strategies along a risk‐spreading continuum of responses to limited water. C₄ grasses were Bouteloua gracilis, Calamovilfa longifolia and Schizachyrium scoparium; C₃ grasses were Bromus carinatus, Elymus trachycaulus, Festuca hallii and Koeleria macrantha. Hydrotime parameters were obtained after incubation of non‐dormant seeds under different Ψ PEG 6000 solutions. A t‐test between C₃ and C₄ grasses did not find statistical differences in population mean base Ψ (Ψ_b(50)). We found idiosyncratic responses of C₄ grasses along the risk‐spreading continuum. B. gracilis showed a risk‐taker strategy of a species able to quickly germinate in a dry soil due to its low Ψ_b(50) and hydrotime (θ_H). The high Ψ_b(50) of S. scoparium indicates it follows the risk‐averse strategy so it can only germinate in wet soils. C. longifolia showed an intermediate strategy: the lowest Ψ_b(50) yet the highest θ_H. K. macrantha, a C₃ grass which thrives in dry habitats, had the highest Ψ_b(50), suggesting a risk‐averse strategy for a C₃ species. Other C₃ species showed intermediate germination patterns in response to Ψ relative to C₄ species. Our results indicate that grasses display germination sensitivities to Ψ across the risk‐spreading continuum of responses. Thus seed water relations may be poor predictors to explain differential recruitment and distribution of C₃ and C₄ grasses in the Canadian prairies.     

Detection of the change point in oxygen uptake during an incremental exercise test using recursive residuals: relationship to the plasma lactate accumulation and blood acid base balance

The purpose of this study was to develop a method to determine the power output at which oxygen uptake (V˙O₂) during an incremental exercise test begins to rise non-linearly. A group of 26 healthy non-smoking men [mean age 22.1 (SD 1.4) years, body mass 73.6 (SD 7.4) kg, height 179.4 (SD 7.5) cm, maximal oxygen uptake (V˙O_2max) 3.726 (SD 0.363) l · min⁻¹], experienced in laboratory tests, were the subjects in this study. They performed an incremental exercise test on a cycle ergometer at a pedalling rate of 70 rev · min⁻¹. The test started at a power output of 30 W, followed by increases amounting to 30 W every 3 min. At 5 min prior to the first exercise intensity, at the end of each stage of exercise protocol, blood samples (1 ml each) were taken from an antecubital vein. The samples were analysed for plasma lactate concentration [La]_pl, partial pressure of O₂ and CO₂ and hydrogen ion concentration [H⁺]_b. The lactate threshold (LT) in this study was defined as the highest power output above which [La⁻]_pl showed a sustained increase of more than 0.5 mmol · l⁻¹ · step⁻¹. The V˙O₂ was measured breath-by-breath. In the analysis of the change point (CP) of V˙O₂ during the incremental exercise test, a two-phase model was assumed for the 3rd-min-data of each step of the test: X _i =at _i +b+ɛ _i for i=1,2,…,T, and E(X _i )>at _i +b for i =T+1,…,n, where X ₁, … , X _n are independent and ɛ _i ∼N(0,σ²). In the first phase, a linear relationship between V˙O₂ and power output was assumed, whereas in the second phase an additional increase in V˙O₂ above the values expected from the linear model was allowed. The power output at which the first phase ended was called the change point in oxygen uptake (CP-V˙O₂). The identification of the model consisted of two steps: testing for the existence of CP and estimating its location. Both procedures were based on suitably normalised recursive residuals. We showed that in 25 out of 26 subjects it was possible to determine the CP-O₂ as described in our model. The power output at CP-V˙O₂ amounted to 136.8 (SD 31.3) W. It was only 11 W – non significantly – higher than the power output corresponding to LT. The V˙O₂ at CP-V˙O₂ amounted to 1.828 (SD 0.356) l · min⁻¹ was [48.9 (SD 7.9)% V˙O_{2 max} ]. The [La⁻]_pl at CP-V˙O₂, amounting to 2.57 (SD 0.69) mmol · l⁻¹ was significantly elevated (P<0.01) above the resting level [1.85 (SD 0.46) mmol · l⁻¹], however the [H⁺]_b at CP-V˙O₂ amounting to 45.1 (SD 3.0) nmol · l⁻¹, was not significantly different from the values at rest which amounted to 44.14 (SD 2.79) nmol · l⁻¹. An increase of power output of 30 W above CP-V˙O₂ was accompanied by a significant increase in [H⁺]_b above the resting level (P=0.03). Accepted: 25 March 1998     

The convergence in distribution of some simple epidemics

A group of n susceptible individuals exposed to a contagious disease isconsidered. It is assumed that at each point in time one or more susceptible individuals can contract the disease. The progress of this simple batch epidemic is modeled by a stochastic process X_n(t), t[0, ∞), representing the number of infectiveindividuals at time t. In this paper our analysis is restricted to simple batch epidemics with transition rates given by [α²X_n(t){n −X_n(t) +X_n(0)}]^1/2, t[0, ∞), α(0, ∞). This class of simple batch epidemics generalizes a model used and motivated by McNeil (1972) to describe simple epidemic situations. It is shown for this class of simple batch epidemics, that X_n(t), with suitable standardization, converges in distribution as n→∞ to a normal random variable for all t(0, t₀), and t₀ is evaluated.     

Partitioning particulate scattering and absorption into contributions of phytoplankton and non-algal particles in winter in Lake Taihu (China)

Light scattering, backscattering, and absorption coefficients of particles were observed at 62 locations in Lake Taihu (China) in November 2008. A method using a priori knowledge and the measured data was proposed to partition particulate scattering and absorption into contributions of phytoplankton and non-algal particles. The results showed that phytoplankton weakly contributed to the particulate scattering and backscattering with the mean b _ph/b _p values usually below 10% and b _bph/b _bt values of 0.3–3.9% in the whole visible light spectrum, and an approximate relationship of b _bt ≈ b _bp ≈ b _bnap was regarded as reasonable in Lake Taihu. In contrast with scattering and backscattering, phytoplankton made more contributions to the particulate absorption with the mean a _ph/a _p values varying in a wide range of about 20–70%. Both the scattering and absorption spectra of non-algal particles can be modeled well by corresponding methods. A power function model was used to simulate the scattering spectra, which presented high predictive accuracies with MAPE values usually below 5% and RMSE values below 1.5 m⁻¹, while the spectral absorption model also performed well with mean S _nap being 0.0052 nm⁻¹ (standard deviation, SD = 0.0010 nm⁻¹). As to the phytoplankton absorption, a quadratic function model used was considered to have a good performance with corresponding parameters being supported at each wavelength in the spectral range of 400–700 nm. Additionally, two basic bio-optical parameters were determined, that is, b _nap^*(550) = 0.604 m² g⁻¹ and a _ph^*(675) = 0.0288 m² mg⁻¹. Overall, these results obtained in the present study supply us with new knowledge about optical properties of suspended particulates in an inland and highly turbid lake (Lake Taihu), which are beneficial to the development of analytical models of water color remote sensing.     

The mathematical theory of group selection. I. Full solution of a nonlinear Levins E = E(x) model

The first complete overtime solution is obtained for a group selection model of Levins E = E(x) type with recolonization but no other gene flow between islands. Assuming a subdivided population at carrying capacity, the model describes selection at a biallelic locus (A, a) where a is opposed by Mendelian selection but is favored by a lower rate of extinction of demes having high a frequency. By contrast to the linear diffusion equations encountered in classical mathematical genetics, the PDE governing the dynamics is now nonlinear in the metapopulation gene frequency distribution φ(x, t); furthermore, the initial conditions now heavily influence the equilibrium distribution φ_∞(x). A fully explicit formula (20) expressing this dependence is derived. The results indicate that a fixation is never reached, but (A, a) polymorphism in the metapopulation will result if , where s 1 parametrizes the strength of Mendelian selection, E(x) is the Levins extinction operator, h (typically in the open interval (0, 1)) is the dominance of a, and B is a parameter measuring the flatness of the initial distribution f(x) in the x → 1 limit.     

Purification and characterization of glycogen phosphorylase A and B from the freeze-avoiding gall moth larvae Epiblema scudderiana

The active a and inactive b forms of glycogen phosphorylase from cold-hardy larvae of the gall moth, Epiblema scudderiana, were purified using DEAE⁺ ion exchange and 3-5-AMP-agarose affinity chromatography. Maximum activities for glycogen phosphorylases a and b were 6.3±0.74 and 2.7±0.87 mol glucose-1-P·min^-1·g wet weight^-1, respectively, in -4°C-acclimated larvae. Final specific activities of the purified enzymes were 396 and 82 units·mg protein^-1, respectively. Both enzymes were dimers with native molecular weights of 215000±18000 for glycogen phosphorylase a and 209000±15000 for glycogen phosphorylase b; the subunit molecular weight of both forms was 87000±2000. Both enzymes showed pH optima of 7.5 at 22°C and a break in the Arrhenius relationship with a two- to four-fold increase in activation energy below 10°C. Michaelis constant values for glycogen at 22°C were 0.12±0.004 mg·ml^-1 for glycogen phosphorylase a and 0.87±0.034 mg·ml^-1 for glycogen phosphorylase b; the Michaelis constant for inorganic phosphate was 6.5±0.07 mmol·l^-1 for glycogen phosphorylase a and 23.6 mmol·l^-1 for glycogen phosphorylase b. Glycogen phosphorylase b was activated by adenosine monophosphate with a K _a of 0.176±0.004 mmol·l^-1. Michaelis constant and K _a values decreased by two- to fivefold at 5°C compared with 22°C. Glycerol had a positive effect on the Michaelis constant for glycogen for glycogen phosphorylase a at intermediate concentrations (0.5 mol·l^-1) but was inhibitory to both enzyme forms at high concentrations (2 mol·l^-1). Glycerol production as a cryoprotectant in E. scudderiana larvae is facilitated by the low temperature-simulated glycogen phosphorylase b to glycogen phosphorylase a conversion and by positive effects of low temperature on the kinetic properties of glycogen phosphorylase a. Enzyme shut-down when polyol synthesis is complete appears to be aided by strong inhibitory effects of glycerol and KCl on glycogen phosphorylase b.Abbreviations E _a activation energy - GPa glycogen phosphorylase a - GPb glycogen phosphorylase b - h Hill coefficient - I ₅₀ concentration of inhibitor that reduces enzymes velocity by 50% - K _a concentration of activator that produces half-maximal activation of enzyme activity - K _m Michaelis-Menten substrate affinity constant - MW molecular weight - PEG polyethylene glycol - P_i morganic phosphate - SDS PAGE sodium dodecyl sulphate polyacrylamide gel electrophoresis - V _max enzyme maximal velocity     

Functional mimics of catechol oxidase by mononuclear copper complexes of sterically demanding [NNO] ligands

Several mononuclear copper complexes 1(a-b) and 2(a-b) supported over sterically demanding [NNO] ligands namely, N-(aryl)-2-[(pyridin-2-ylmethyl)amino]acetamide [aryl = 2,6-diethylphenyl (1) and mesityl (2)], exhibit catecholase-like activity in performing the aerial oxidation of 3,5-di-t-butylcatehol (3,5-DTBC) to 3,5-di-t-butyl-catequinone (3,5-DTBQ) under ambient conditions. The 1(a-b) and 2(a-b) complexes were directly synthesized from the reaction of the respective ligands 1-2 with CuX₂·nH₂O (X = Cl, NO₃, n = 2, 3) in 55-85% yield. Mechanistic insights on the catalytic cycle as obtained by density functional theory studies for a representative complex 1a suggest that an intramolecular hydrogen transfer, from a catechol-OH moiety to a copper bound superoxo moiety, form the rate-determining step of the oxidation process, displaying an activation barrier of 18.3 kcal/mol (ΔG^‡) [6.9 kcal/mol in Δ(PE + ZPE)^‡ scale].     

Chloride secretion by canine tracheal epithelium: II. The cellular electrical potential profile

Summary We used intracellular microelectrode techniques to study the mechanisms responsible for Cl secretion by canine tracheal epithelium. Tissues were treated with indomethacin (10^–6 m, added to the mucosal solution) to reduce the baseline rate of Cl secretion and then stimulated by addition of epinephrine (10^–6 m) or prostaglandin E₁ (10^–6 m) to the submucosal solution.Three conclusions emerged from our findings: First, secretagogues enhance the rate of transepithelial Cl transport primarily by increasing apical membrane Cl permeability, since: (i) stimulation of secretion produced parallel decreases in transepithelial resistance (R _t) and the membrane resistance ratioR _a/R_b, whereR _a andR _b refer to the resistances of the apical and basolateral membranes; (ii) there was an inverse relation between the short-circuit current andR _a/R_b; (iii) secretagogues depolarized the electrical potential difference across the apical membrane (_a) and produced an equivalent hyperpolarization of the transepithelial electrical potential difference (₁) so that, in the steady-state, the basolateral membrane potential (_b) was unchanged; and (iv) substitution of sulfate or gluconate for Cl in the bathing solutions prevented secretagogue-induced changes inR _t, R_a/R_b, (_a) and (₁).Second, Cl entry into the cell across the basolateral membrane appears to be electrically-neutral since omission of Cl from the submucosal solution had no effect on (_b) and did not decreaseR _a/R_b as would be expected if Cl entered the cell by a conductive process.Third, secretagogues decreaseR _b. Approximately 20 sec after the onset of the secretory responseR _a/R_b underwent a secondary increase whileR _t continued to fall. The decrease inR _b may reflect an increase in basolateral membrane K permeability.     

A model of photosystem II for the analysis of fast fluorescence rise in plant leaves

The polyphasic patterns of fluorescence induction rise in pea leaves in vivo and after the treatment with ionophores have been studied using a Plant Efficiency Analyzer. To analyze in detail photosystem II (PS II) electron transfer processes, an extended PS II model was applied, which included the sums of exponential functions to specify explicitly the light-driven formation of the transmembrane electric potential (ΔΨ(t)) as well as pH in the lumen (pH_L(t)) and stroma (pH_S(t)). PS II model parameters and numerical coefficients in ΔΨ(t), pH_L(t), and pH_S(t) were evaluated to fit fluorescence induction data for different experimental conditions: leaf in vivo or after ionophore treatment at low or high light intensity. The model imitated changes in the pattern of fluorescence induction rise due to the elimination of transmembrane potential in the presence of ionophores, when ΔΨ = 0 and pH_L(t), pH_S(t) changed to small extent relative to control values in vivo, with maximum ΔΨ(t) ∼ 90 mV and ΔΨ(t) ∼ 40 mV for the stationary state at ΔpH ≅ 1.8. As the light intensity was increased from 300 to 1200 μmol m⁻² s⁻¹, the heat dissipation rate constants increased threefold for nonradiative recombination of P680⁺Phe⁻ and by ∼30% for P680⁺Q_A⁻. The parameters ΔΨ, pH_S and pH_L were analyzed as factors of PS II redox state populations and fluorescence yield. The kinetic mechanism of fluorescence quenching is discussed, which is related with light-induced lumen acidification, when ⁺Q_A⁻ and P680⁺ recombination probability increases to regulate the Q_A reduction.     

Reliable effective number of breeders/adult census size ratios in seasonal‐breeding species: Opportunity for integrative demographic inferences based on capture–mark–recapture data and multilocus genotypes

The ratio of the effective number of breeders (N_b) to the adult census size (N_a), N_b/N_a, approximates the departure from the standard capacity of a population to maintain genetic diversity in one reproductive season. This information is relevant for assessing population status, understanding evolutionary processes operating at local scales, and unraveling how life‐history traits affect these processes. However, our knowledge on N_b/N_a ratios in nature is limited because estimation of both parameters is challenging. The sibship frequency (SF) method is adequate for reliable N_b estimation because it is based on sibship and parentage reconstruction from genetic marker data, thereby providing demographic inferences that can be compared with field‐based information. In addition, capture–mark–recapture (CMR) robust design methods are well suited for N_a estimation in seasonal‐breeding species. We used tadpole genotypes of three pond‐breeding amphibian species (Epidalea calamita, Hyla molleri, and Pelophylax perezi, n = 73–96 single‐cohort tadpoles/species genotyped at 15–17 microsatellite loci) and candidate parental genotypes (n = 94–300 adults/species) to estimate N_b by the SF method. To assess the reliability of N_b estimates, we compared sibship and parentage inferences with field‐based information and checked for the convergence of results in replicated subsampled analyses. Finally, we used CMR data from a 6‐year monitoring program to estimate annual N_a in the three species and calculate the N_b/N_a ratio. Reliable ratios were obtained for E. calamita (N_b/N_a = 0.18–0.28) and P. perezi (0.5), but in H. molleri, N_a could not be estimated and genetic information proved insufficient for reliable N_b estimation. Integrative demographic studies taking full advantage of SF and CMR methods can provide accurate estimates of the N_b/N_a ratio in seasonal‐breeding species. Importantly, the SF method provides results that can be readily evaluated for reliability. This represents a good opportunity for obtaining robust demographic inferences with wide applications for evolutionary and conservation research.     

Biodegradation and evaporation of polychlorinated biphenyls (PCBs) in liquid media

During microbial degradation of PCBs in a liquid medium, two processes influence the PCB concentration in the medium simultaneously: biodegradation and evaporation. The physical loss of PCB due to evaporation frequently causes false positive results in biodegradation experiments. Therefore, if only PCBs are monitored, the determination of the PCB concentration in both liquid and gaseous phases is necessary for a correct appraisal of biodegradation. The kinetics of PCB evaporation and biodegradation were monitored and described by a simple mathematical model. The evaporation and biodegradation rate constants for individual PCB congeners were determined for PCB degradation in liquid medium byPseudomonas stutzeri andAlcaligenes xylosoxidans, both isolated from a longterm PCB-contaminated soil.Symbols a ₁,b ₁,a ₂,b ₂ fitting parameters - c ₀ initial concentration of PCB congener in liquid medium - c _l concentration of PCB congener in liquid medium - c _ev concentration of PCB congener in sorbent - k _ev rate constant of PCB congener evaporation - k _met rate constant of PCB congener metabolization - n _s amount of PCB congener in sorbent - t _1/2 half-time of evaporation - V _t volume of liquid medium